How many people are there in the village? If there are less than 5000, it makes no differences how many doses of the correct drug we have, so long as we have at least 5000. Otherwise...
(And if there are between 5000 and 10,000 people, the two doctors can just agree to take each the 10,000 doses of the other drug, so that whichever the true disease is, we have 10,000 doses of the drug for it. This only fully resembles the Prisoner’s Dilemma if there are more than 10,000 people.)
How many people are there in the village? If there are less than 5000, it makes no differences how many doses of the correct drug we have, so long as we have at least 5000. Otherwise...
(And if there are between 5000 and 10,000 people, the two doctors can just agree to take each the 10,000 doses of the other drug, so that whichever the true disease is, we have 10,000 doses of the drug for it. This only fully resembles the Prisoner’s Dilemma if there are more than 10,000 people.)